Asymptotics of kink-kink interaction for sine-Gordon type equations

D. A. Kulagin, G. A. Omel'yanov

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We consider a class of semilinear wave equations with a small parameter ε. The nonlinearity of F(u) is assumed to be such that the corresponding equation has an exact self-similar solution of kink type. For F(u), we obtain sufficient conditions for two kinks to interact (in the sense of the leading term of the asymptotics with respect to ε) in the same way as the kinks of the sine-Gordon equation.
Original languageAmerican English
Pages (from-to)563-567
Number of pages5
JournalMathematical Notes
StatePublished - 1 Mar 2004
Externally publishedYes


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